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Finding the Third Proportional to 4,856.25 and 12,276.75

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Solution

The third proportional to 4,856.25 and 12,276.75 is: 31,036.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.25 : 12,276.75 = 12,276.75 : x
  2. Step 2: Convert to fraction form
    4,856.25/12,276.75 = 12,276.75/x
  3. Step 3: Cross multiply
    4,856.25x = 12,276.75 × 12,276.75
  4. Step 4: Simplify right side
    4,856.25x = 150,718,590.56
  5. Step 5: Solve for x
    x = 150,718,590.56/4,856.25
  6. Step 6: Final answer
    x = 31,036.00

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These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.